34969896192 has 288 divisors, whose sum is σ = 116764268544. Its totient is φ = 9026150400.

The previous prime is 34969896167. The next prime is 34969896197. The reversal of 34969896192 is 29169896943.

It is a happy number.

It is a super-2 number, since 2×34969896192² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34969896197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9873942 + ... + 9877482.

It is an arithmetic number, because the mean of its divisors is an integer number (405431488).

Almost surely, 2^34969896192 is an apocalyptic number.

34969896192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34969896192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58382134272).

34969896192 is an abundant number, since it is smaller than the sum of its proper divisors (81794372352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34969896192 is a wasteful number, since it uses less digits than its factorization.

34969896192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3731 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 66.

The spelling of 34969896192 in words is "thirty-four billion, nine hundred sixty-nine million, eight hundred ninety-six thousand, one hundred ninety-two".